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This problem is one of our [[research topics]], as the particular case ($N=1$) of our [[multiphoton emission]] research. | This problem is one of our [[research topics]], as the particular case ($N=1$) of our [[multiphoton emission]] research. | ||
− | We have provided a concept for a [[perfect single photon source]] which, as opposed to the commonly accepted criterion $g^{(2)}(0)=0$, demands that $g^{(2)}(\tau)=0$ for all $\tau$ in a time gap. This has the unsuspected consequence that this produces bunching oscillations, which mark the onset of photon-ordering similarly to what happens when a gas liquefies, as we discuss in | + | We have provided a concept for a [[perfect single photon source]]{{cite|khalid24a}} which, as opposed to the commonly accepted criterion $g^{(2)}(0)=0$, demands that $g^{(2)}(\tau)=0$ for all $\tau$ in a time gap. This has the unsuspected consequence that this produces bunching oscillations, which mark the onset of photon-ordering similarly to what happens when a gas liquefies, as we discuss in Ref. {{onlinecite|zubizarretacasalengua24a}} where we further provide a mechanism for a full family of increasingly better SPS, with [[g2 function|$g^{(2)}(\tau)$]] function given by the elegant formula: |
$$g^{(2)}_N(\tau) = 1 + \sum_{p=1}^{N-1} z_N^p \exp\big(- \gamma (1-z_N^p)\tau\big)$$ | $$g^{(2)}_N(\tau) = 1 + \sum_{p=1}^{N-1} z_N^p \exp\big(- \gamma (1-z_N^p)\tau\big)$$ | ||
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the $N$th roots of unity. | the $N$th roots of unity. | ||
− | + | When not striving for perfection, we have shown how two-photon suppression can be realized from admixing [[squeezed states]] with coherent states{{cite|zubizarretacasalengua20b}} and, more importantly, how such an understanding allows to realize ''joint'' subnatural-linewidth single-photon emission.{{cite|lopezcarreno18b}} The underlying mechanism was generalized to a broad range of quantum emitters in Ref. {{onlinecite|zubizarretacasalengua20a}}. This was confirmed experimentally by [[Hanschke]]{{etal}}{{cite|hanschke20a}} | |
We also described the main and most widespread system for single-photon emission (a two-level system driven coherently and/or incoherently), as well as the loss of its antibunching, in Ref. {{onlinecite|lopezcarreno22a}}. | We also described the main and most widespread system for single-photon emission (a two-level system driven coherently and/or incoherently), as well as the loss of its antibunching, in Ref. {{onlinecite|lopezcarreno22a}}. | ||
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[https://en.wikipedia.org/wiki/Nitrogen-vacancy_center NV centers] are one of the many luminescent defects in diamonds. An NV center is formed by replacing one carbon atom from the crystal with a nitrogen N atom as well as a vacancy V (missing atom, or hole) at an adjacent lattice position; whence the name (Nitrogen-Vacancy center). | [https://en.wikipedia.org/wiki/Nitrogen-vacancy_center NV centers] are one of the many luminescent defects in diamonds. An NV center is formed by replacing one carbon atom from the crystal with a nitrogen N atom as well as a vacancy V (missing atom, or hole) at an adjacent lattice position; whence the name (Nitrogen-Vacancy center). | ||
+ | |||
+ | == See also == | ||
+ | |||
+ | * Blog posts on the [[perfect single photon source]] on [https://communities.springernature.com/posts/perfect-single-photon-sources Springer Nature web] or [[Blog:Science/A_mechanism_for_a_perfect_single-photon_source|on this web]]. | ||
== References == | == References == |
Contents |
A Single-Photon Source (SPS) is any system able to emit photons one by one. The typical measure of that is antibunching.
This problem is one of our research topics, as the particular case ($N=1$) of our multiphoton emission research.
We have provided a concept for a perfect single photon source[1] which, as opposed to the commonly accepted criterion $g^{(2)}(0)=0$, demands that $g^{(2)}(\tau)=0$ for all $\tau$ in a time gap. This has the unsuspected consequence that this produces bunching oscillations, which mark the onset of photon-ordering similarly to what happens when a gas liquefies, as we discuss in Ref. [2] where we further provide a mechanism for a full family of increasingly better SPS, with $g^{(2)}(\tau)$ function given by the elegant formula:
$$g^{(2)}_N(\tau) = 1 + \sum_{p=1}^{N-1} z_N^p \exp\big(- \gamma (1-z_N^p)\tau\big)$$
with
$$z_N\equiv\exp\left({2i\pi\over N}\right)$$
the $N$th roots of unity.
When not striving for perfection, we have shown how two-photon suppression can be realized from admixing squeezed states with coherent states[3] and, more importantly, how such an understanding allows to realize joint subnatural-linewidth single-photon emission.[4] The underlying mechanism was generalized to a broad range of quantum emitters in Ref. [5]. This was confirmed experimentally by Hanschke et al.[6]
We also described the main and most widespread system for single-photon emission (a two-level system driven coherently and/or incoherently), as well as the loss of its antibunching, in Ref. [7].
With (what we believe is) first report:
etc.
NV centers are one of the many luminescent defects in diamonds. An NV center is formed by replacing one carbon atom from the crystal with a nitrogen N atom as well as a vacancy V (missing atom, or hole) at an adjacent lattice position; whence the name (Nitrogen-Vacancy center).
|